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Course Criteria
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3.00 Credits
(3) Functions of several real variables: linear transformations, continuity and differentiability, inverse/implicit function theorems, multiple integrals, and line and surface integrals. Requisites: PR, MATH 631.
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3.00 Credits
(3) See PHYS 620 Mathematics for the Physical Sciences for course description.
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3.00 Credits
(3) An introduction to mathematical models. Topics include Markov chains, linear programming, game theory, and networks and flows. Requisites: PR, MATH 240 or PERM.
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3.00 Credits
(3) Discrete mathematical structures with applications in computer science/software engineering. Topics include semi-groups, groups, trees, graphs, and combinatorics. Requisites: PR, MATH 240 or PERM.
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3.00 Credits
(3) Probability concepts and their application in statistics. Random variables, joint distributions, generating functions, sampling distributions, confidence intervals, hypothesis tests, least-squares, correlation. Requisites: PR, MATH 235 or PERM.
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3.00 Credits
(3) Partial differentiation. Solution of partial differential equations. Use of Fourier series in the solution of partial differential equations. Applications to problems of physics. Requisites: PR, MATH 354.
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3.00 Credits
(3) Applications of mathematics to selected problems from areas outside mathematics, primarily from the natural sciences. Requisites: PR, MATH 240 and MATH 354 or PERM.
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3.00 Credits
(2) The algebra and geometry of vectors, the calculus of vectors with applications. An introduction to tensors as time permits. Requisites: PR, MATH 354 or concurrent enrollment.
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3.00 Credits
(3) Numerical techniques for solving non-linear equations, systems of linear equations, and ordinary differential equations. Fixed-point iteration, interpolation, Romberg integration, and predictor-corrector methods. Requisites: PR, MATH 236.
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3.00 Credits
(3) Basic set theory and cardinal and ordinal numbers and their arithmetic. Basic concepts of topology, in the context of metric spaces. Recommended for teachers. Requisites: PR, MATH 235 or PERM.
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